Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| isoclinism | isoclinic class of #677 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C42×#677 |
| Fitting | C42×C5×C8 ⋊ C2 |
| Sylow | C5 ⋊ C42×SD16 |
1230 conjugacy classes of subgroups.
| transitive degree | μt(G) = 640 |
368 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 168041);